A Mathematical Model for the Origin of Name Brands and Generics

DOI10.1137/20M1360888zbMath1501.35404arXiv2112.07740MaRDI QIDQ5094914

Adam M. Redlich, Daniel M. Abrams, Joseph D. Johnson

Publication date: 5 August 2022

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.07740

zbMATH Keywords

differential gamesdynamical systemsnonlinear dynamicseconomic dynamicsadvertisingconsumer behavior

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Consumer behavior, demand theory (91B42) Dynamical systems in optimization and economics (37N40) Economic dynamics (91B55) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Welfare economics (91B15) Mean field games (aspects of game theory) (91A16) Mathematical modeling or simulation for problems pertaining to game theory, economics, and finance (91-10)

Uses Software

• plfit

Cites Work

• A nonlinear Cournot duopoly with advertising
• A differential game model of the marketing-operations interface
• Optimal distributed dynamic advertising
• Hawk-dove game and competition dynamics
• The dip test of unimodality
• Existence and uniqueness of optimal dynamic pricing and advertising controls without concavity
• Power-Law Distributions in Empirical Data
• Deterministic and stochastic optimization of a dynamic advertising model
• A Simplex Method for Function Minimization

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